A gas at 27°C temperature and 30 atmospheric pressure is allowed to expand to the atmospheric pressure. If the volume becomes 10 times its initial volume, then the final temperature becomes

1.  100°C

2.  173°C

3.  273°C

4.  – 173°C

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Ideal gas
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In the relation

1.  Number of molecules

2.  Atomic number

3.  Mass number

4.  Number of moles

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Ideal gas
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Difficulty Level:

The equation of state corresponding to 8 g of ${\mathrm{O}}_{2}$ is :

1.  PV = 8RT

2.  PV = RT/4

3.  PV = RT

4.  PV = RT/2

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Ideal gas
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Difficulty Level:

Three containers of the same volume contain three different gases. The masses of the molecules are  and ${\mathrm{m}}_{3}$ and the number of molecules in their respective containers are  and ${\mathrm{N}}_{3}$ . The gas pressure in the containers are  and ${\mathrm{P}}_{3}$ respectively. All the gases are now mixed and put in one of the containers. The pressure P of the mixture will be :

1. $\mathrm{P}<\left({\mathrm{P}}_{1}+{\mathrm{P}}_{2}+{\mathrm{P}}_{3}\right)$

2. $\mathrm{P}=\frac{{\mathrm{P}}_{1}+{\mathrm{P}}_{2}+{\mathrm{P}}_{3}}{3}$

3. $\mathrm{P}={\mathrm{P}}_{1}+{\mathrm{P}}_{2}+{\mathrm{P}}_{3}$

4. $\mathrm{P}>\left({\mathrm{P}}_{1}+{\mathrm{P}}_{2}+{\mathrm{P}}_{3}\right)$

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Ideal gas
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At a given volume and temperature, the pressure of a gas :

1. Varies inversely as its mass

2. Varies inversely as the square of its mass

3. Varies linearly as its mass

4. Is independent of its mass

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Ideal gas
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Difficulty Level:

The rate of diffusion is :

1. Faster in solids than in liquids and gases

2. Faster in liquids than in solids and gases

3. Equal to solids, liquids, and gases

4. Faster in gases than in liquids and solids

Concept Questions :-

Ideal gas
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Two thermally insulated vessels 1 and 2 are filled with air at temperatures  volume  and pressure  respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

1. ${\mathrm{T}}_{1}+{\mathrm{T}}_{2}$

2. $\left({\mathrm{T}}_{1}+{\mathrm{T}}_{2}\right)/2$

3. $\frac{{\mathrm{T}}_{1}{\mathrm{T}}_{2}\left({\mathrm{P}}_{1}{\mathrm{V}}_{1}+{\mathrm{P}}_{2}{\mathrm{V}}_{2}\right)}{{\mathrm{P}}_{1}{\mathrm{V}}_{1}{\mathrm{T}}_{2}+{\mathrm{P}}_{2}{\mathrm{V}}_{2}{\mathrm{T}}_{1}}$

4. $\frac{{\mathrm{T}}_{1}{\mathrm{T}}_{2}\left({\mathrm{P}}_{1}{\mathrm{V}}_{1}+{\mathrm{P}}_{2}{\mathrm{V}}_{2}\right)}{{\mathrm{P}}_{1}{\mathrm{V}}_{1}{\mathrm{T}}_{2}+{\mathrm{P}}_{2}{\mathrm{V}}_{2}{\mathrm{T}}_{2}}$

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Ideal gas
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For matter to exist simultaneously in gas and liquid phases :

1. The temperature must be 0 K.

2. The temperature must be less than $0°\mathrm{C}$.

3. The temperature must be less than the critical temperature.

4. The temperature must be less than the reduced temperature.

Concept Questions :-

Ideal gas
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The value of critical temperature in terms of Vander Waal’s constant a and b is

1.

2.

3.

4.

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Ideal gas
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Difficulty Level:

In Vander Waal’s equation, a and b represent $\left(\mathrm{P}+\frac{\mathrm{a}}{{\mathrm{V}}^{2}}\right)\left(\mathrm{v}-\mathrm{b}\right)=\mathrm{RT}$

1. Both a and b represent correction in volume

2. Both a and b represent adhesive force between molecules

3. a represents adhesive force between molecules and b correction in volume

4. a represents correction in volume and b represents adhesive force between molecules

Concept Questions :-

Ideal gas